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Multi-criteria Decision Making Methods with Bipolar Fuzzy Sets

✍ Scribed by Muhammad Akram, Shumaiza, José Carlos Rodríguez Alcantud

Publisher
Springer
Year
2023
Tongue
English
Leaves
236
Series
Forum for Interdisciplinary Mathematics
Category
Library
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✦ Table of Contents

Foreword
Preface
Contents
About the Authors
List of Figures
List of Tables
1 TOPSIS and ELECTRE I Methodologies: Bipolar Fuzzy Formulations
1.1 Introduction
1.2 Bipolar Fuzzy Sets
1.3 Multi-criteria Decision Making Methods
1.4 Bipolar Fuzzy TOPSIS Method
1.5 Bipolar Fuzzy ELECTRE I Method
1.6 Comparative Analysis
1.7 Bipolar Fuzzy Extended TOPSIS Method
1.8 Conclusion
References
2 TOPSIS Method with Trapezoidal Bipolar Fuzzy Numbers
2.1 Introduction
2.2 Bipolar Fuzzy Numbers
2.3 Bipolar Fuzzy Linguistic Variables
2.4 Ranking of Bipolar Fuzzy Numbers
2.5 (α,β)-Cut of Bipolar Fuzzy Numbers
2.6 TOPSIS Method Based on Trapezoidal Bipolar Fuzzy Numbers
2.7 Trapezoidal Bipolar Fuzzy Information System
2.8 Conclusion
References
3 VIKOR Method with Trapezoidal Bipolar Fuzzy Sets
3.1 Introduction
3.2 Trapezoidal Bipolar Fuzzy VIKOR Method
3.3 Comparative Analysis with Trapezoidal Bipolar Fuzzy TOPSIS Method
3.4 Comparative Analysis with Fuzzy VIKOR Method
3.5 Conclusion
References
4 Extended VIKOR Method with Complex Bipolar Fuzzy Sets
4.1 Introduction
4.2 Complex Bipolar Fuzzy Sets
4.3 Structure of Complex Bipolar Fuzzy VIKOR Method
4.4 Application
4.5 Comparative Analysis
4.6 Merits of the Presented Method
4.7 Conclusion
References
5 Beyond ELECTRE I: A Bipolar Fuzzy ELECTRE II Method
5.1 Introduction
5.2 Bipolar Fuzzy ELECTRE II Method
5.3 Comparative Study and Discussion
5.3.1 Comparison with Bipolar Fuzzy TOPSIS Method
5.3.2 Comparison with Bipolar Fuzzy ELECTRE I Method
5.3.3 Comparison with Fuzzy ELECTRE II Method
5.4 Insights and Limitations of the Proposed Method
References
6 Extended PROMETHEE Method with Bipolar Fuzzy Sets
6.1 Introduction
6.2 Bipolar Fuzzy PROMETHEE Method
6.2.1 Preference Function
6.2.2 Structure of Bipolar Fuzzy PROMETHEE Method
6.3 Comparative Study
6.4 Conclusion
References
7 Enhanced Decision Making Method with Two-Tuple Linguistic Bipolar Fuzzy Sets
7.1 Introduction
7.2 The 2-Tuple Linguistic Bipolar Fuzzy Sets
7.3 The 2-Tuple Linguistic Bipolar Fuzzy Heronian Mean Aggregation Operators
7.4 An Approach to MAGDM Problem with 2-Tuple …
7.5 Numerical Example
7.6 Comparative Analysis
7.7 Advantages of the Proposed Strategies
7.8 Conclusions
References
Index

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